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AlekseyPX
3 years ago
15

The figure below is a square inside a rectangle

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

ummmm their isn't no picture showing

have a good day :)

Step-by-step explanation:

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Define hypotenuse (in the easiest way possible).
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Step-by-step explanation:

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Solve for x by factoring X2-2x=35
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By factoring, x equals both -5 and 7.
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HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES
Lerok [7]

Answer:

1. 170.083 in³

2. 126π in³

3. 92.106 m³

4. 2412.74 in³

5. 612π m³ and 1922 m³

Step-by-step explanation:

1.

Cylinder:

V = \pi r^{2}h               *Plug in numbers*

(3.14)(2.5)^{2}(7)         *Square 2.5*

(3.14)(6.25)(7)        *Solve*

≈ 137.375in^{3}

Sphere:

V = \frac{4}{3}\pi r^{3}              *Plug in numbers*

\frac{4}{3} (3.14)(2.5)^{3}         *Cube 2.5*

\frac{\frac{4}{3}(3.14)(15.625)}{2}         *Divide by 2 and Solve*

≈ 32.7083 in^{3}

Add both volumes

137.375 + 32.7083 ≈ 170.083in^{3}

2.

Cylinder:

V = \pi r^{2}h         *Plug in numbers*

\pi (3)^{2}(10)            *Square 3*

\pi (9)(10)             *Multiply*

90\pi

Sphere:

V = \frac{4}{3} π r^{3}            *Plug in numbers*

\frac{4}{3}\pi (3)^{3}                   *Cube 3*

\frac{4}{3} \pi (27)                   *Multiply*

36\pi

Add both Volumes to get total

90\pi + 36\pi = 126in^{3}

3.

Sphere:

V = \frac{4}{3}\pi r^{3}              *Plug in numbers*

\frac{4}{3} (3.14)(3)^{3}            *Cube 3*

\frac{4}{3} (3.14)(27)            *Multiply*

113.04m^{3}

Cone:

V = \frac{\pi r^{2}h}{3}             *Plug in numbers*

\frac{(3.14)(2)^{2}(5)}{3}           *Square 2*

\frac{(3.14)(4)(5)}{3}             *Solve*

20.93m^{3}

Subtract the volumes to get the volume of the blue area

113.04 - 20.93 = 92.106m^{3}

4.

Sphere:

V = \frac{4}{3} \pi r^{3}            *Plug in numbers*

\frac{4}{3}\pi (8)^{3}                 *Cube 8*

\\\frac{4}{3}\pi (512)               *Multiply*

\\\\\pi (682.6)              *Solve*

2133.66in^{3}           *Divide by 2 since it's a hemisphere*

Cone:

V = \frac{\pi r^{2}h}{3}            *Plug in numbers*

\frac{\pi (8)^{2}(20)}{3}              *Square 8*

\frac{\pi (64)(20)}{3}              *Multiply and Divide*

1340.41 in^{3}

Add both volumes

1072.33 + 1340.41 = 2412.74in^{3}

5.

Cylinder:

V = \pi r^{2}h            *Plug in numbers*

\pi (6)^{2}(16)              *Square 6*

\pi (36)(16)             *Multiply*

576\pi

Cone:

V = \frac{\pi r^{2}h}{3}            *Plug in numbers*

\frac{\pi (6)^{2}3}{3}                  *Square 6*

36\pi

Add both volumes

576\pi + 36\pi = 612\pi m^{3}

Alternative: *Multiply π*

1922m^{3}

4 0
3 years ago
Read 2 more answers
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